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Finding the Fourth Proportional to 6,614.24, 9,910.32 and 4,662.38

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Solution

The fourth proportional to 6,614.24, 9,910.32 and 4,662.38 is: 6,985.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.24 : 9,910.32 = 4,662.38 : x
  2. Step 2: Convert to fraction form
    6,614.24/9,910.32 = 4,662.38/x
  3. Step 3: Cross multiply
    6,614.24x = 9,910.32 × 4,662.38
  4. Step 4: Simplify right side
    6,614.24x = 46,205,677.76
  5. Step 5: Solve for x
    x = 46,205,677.76/6,614.24
  6. Step 6: Final answer
    x = 6,985.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.